The generator matrix

 1  0  1  1  1  0  1  1  1  1  2
 0  1  3  6  5  1  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8
 0  0  0  0  0  0  0  0  8  0  8
 0  0  0  0  0  0  0  0  0  8  8

generates a code of length 11 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+63x^4+96x^5+56x^6+576x^7+754x^8+3488x^9+11288x^10+32640x^11+11750x^12+3488x^13+424x^14+576x^15+221x^16+96x^17+8x^18+11x^20

The gray image is a code over GF(2) with n=88, k=16 and d=16.
This code was found by Heurico 1.16 in 0.673 seconds.